A Note on the Secrecy Capacity of the Multi-antenna Wiretap Channel

By Tie Liu, Shlomo Shamai. arXiv.org, 2007

440 citations recorded by the source corpus.

Recently, the secrecy capacity of the multi-antenna wiretap channel was characterized by Khisti and Wornell [1] using a Sato-like argument. This note presents an alternative characterization using a channel enhancement argument. This characterization relies on an extremal entropy inequality recently proved in the context of multi-antenna broadcast channels, and is directly built on the physical intuition regarding to the optimal transmission strategy in this communication scenario.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/d786d776ab8f9296b2a490b8fb60f81f9898eb65

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

In Electrical and Electronic Engineering

Citations in the corpus

Secure Transmission with Multiple Antennas II: The MIMOME Wiretap Channel (2010, methodology): “As one example, it remains to be determined whether such developments based on Sato’s bounding techniques be extended beyond sum-power constraints, as the channel enhancement based approach of [22] can.”
Principles of Physical Layer Security in Multiuser Wireless Networks: A Survey (2010, methodology): “…Oggier and Hassibi [39], who computed a similar upper bound on the MIMO secrecy capacity, and showed after a matrix optimization analysis that In [47], Liu and Shamai reexamine the MIMO wiretap channel with a more general matrix input power-covariance constraint Q x S , and showed that the…”
The secrecy capacity of the MIMO wiretap channel (2007, result): “An alternative derivation of our result, and that of Khisti-Wornell, has also appeared in Liu and Shamai [ 16 ].”
Towards the Secrecy Capacity of the Gaussian MIMO Wire-Tap Channel: The 2-2-1 Channel (2007, methodology): “Later, an alternataive approach to the general problem is developed using the channel enhancement technique [ 29 ].”
On Cooperative Relaying Schemes for Wireless Physical Layer Security (2010, background): “Achievability of the above rates can be shown based on existi ng results for MIMO wire-tap channels, such as [11], [14], [12], for one eavesdropper, and [26] for m ultiple eavesdroppers.”
Cooperative Jamming for Secure Communications in MIMO Relay Networks (2011, background): “ b, Efz r z r+z rz gP r, and Efz0aH 2 z gP a. 6 C. Performance Metric MIMO wiretap channels have been extensively analyzed in recent work, and the achievable secrecy rate has been shown to be [10], [11] R s= max[I d I e] + (9) where I dis the mutual information from the source to the destination, I ”
Improving Wireless Physical Layer Security via Cooperating Relays (2010, background): “In [6], [8], and [ 9 ], it was further shown that (10) is actually the secrecy capacity.”